Trash-ket-ballGet ready to show
some skill!
Unit 2 ReviewFebruary 25th, 2014
TEAMS 4th THE ROOTS
• AlmaS• Morgan• Guery• Sunny• Jason• Joseph
THE INTERCEPTS
• Justice• Symon• Tyrajah• Janee• Jazmine• Amber
THE SOLUTIONS
THE MAXS THE PARABOLAS
• Dagim• Labria• Kathya• Melene• Jordan• Ahmad
• Allona• Maria A• Leigha• Noah• Omar• Brooke
• Miya• Maria C• Rhayne• Daron• Thomas• Naiya
TEAMS 2ndTHE ROOTS
• Rebecca• Kelly• Montana• Diamond• Ahja
THE INTERCEPTS
• Anthony• Gracia• Luis• Brenda• Dany
THE SOLUTIONS
THE MAXS THE PARABOLAS
• Shemiah• Daniqua• Derrick• Phillip• Jared
• Nathan• Destiny• Donelle• Kayla • Patrick
• Madisyn• Darren• Kristen• Berenice• Trevon• Theo
Homework Questions
•How it works!
• 1 pt for getting the question right
• Group can choose between 1, 2, or 3 pointer shot
• Each team member must shoot before repeating
How many solutions if y = ax2 + bx + c …a) does not intersect the x-axis _______b) intersects twice ________c) touches once _______
#1
#2
•Solve the following using the square root method:
437)3( 2 x
Solve and approximate solutions to the nearest hundredth (three decimal places) using any method. y = 5x2 – 6x + 1
#3
What quadratic equation are you solving using this formula? Find the original equation.
#4
A rocket is shot in the air. The height in feet reached over time in seconds is given by the function f(x) = -2x2 + 28x + 175. a)What is the height of the rocket 10 seconds after take-off? b)What was the initial height of the rocket? c)After how many seconds will the rocket hit the ground?
#5
John hit a baseball into the air with an initial upward velocity of 35 feet per second. The height h in feet of the ball above the ground can be modeled by h = –16t² + 35t + 2, where t is the time in seconds after John hit the baseball. a) What is the maximum height that the softball reaches? _______________feet b) How long does it take for the ball to reach that height? _______________seconds
#6
Solve the systems of equations
#7
y = - x2 + 2.5 y = -0.9x +7
Solve the systems of equations
#8
y = 2x + 3y = -x2 + 5
Find the quadratic equation given the points:
(-2, 30) (-1, 14) (0,4) (1,0) (3,10)
#9
If the vertex of a parabola is (9, -3), what is the equation of the axis of symmetry?
#10
Find the intervals where increasing and decreasing:
#11
Solve the following equation using the quadratic formula:
#12
103 2 xx
Using the quadratic function as represented in the graph below,
identify the vertex and the roots .
#13
Maximum or Minimum? What is the min/max value?
#14
872 xx
#15
What values for x make this equation true? (5x - 7)(x + 3) = 0
#16
Given the value of the discriminant, determine the number of real roots/solutions the quadratic function will have.
If the discriminant = -12, then the number of real roots = _______
If the discriminant = 12, then the number of real roots = _______
If the discriminant = 0, then the number of real roots = _____
#17
Error Analysis: Circle the error in this problem and explain how to fix the error. STEP 1: 10x2 + 4x = 14STEP 2: 2x(5x + 2) = 14STEP 3: x = 0 or 5x + 2 = 0SOLUTIONS: x = 0 or x = -2/5
#18
Solve by factoring:
x2 + 10x = -9
#19
What are the intervals for increasing and decreasing?
#20
The populations of two cities are modeled by the equations shown below. The population (in thousands) is represented by y and the number of years since 1970 is represented by x. Baskinville: y = x2 – 22x + 350 Cryersport: y = 55x – 950
a) What year(s) did the cities have the same population?
b) What was the population of both cities during the year(s) of equal population?
#21
#22
Solve by quadratic formula: x2 + 3x – 8 = 0
#23
HOMEWORK• Do each question WITHOUT looking at
the answer…• Check the answers!• Use your notes/quizzes to figure out
what you did wrong!• Study!!!! STUDY!!! STUDY!!!!